Explicit Burgess inequalities for cubefree moduli

Elchin Hasanalizade, Hua Lin, Greg Martin +2

Burgess proved that for $\ddot{I}{‡}_q$ a primitive Dirichlet character modulo $q$ with $q$ cubefree, $|{\sum }_{M<n\le M+N}\ddot{I}{‡}_q(n)|\ll N^{1-\frac{1}{r}}{q}^{\frac{r+1}{4r^2}+\hat{I}\mu }$ for…